A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity

Che Haziqah Che Hussin and Arif Mandangan (2023) A semi-analytical method for solving the nonlinear schrodinger equation with power-law nonlinearity.

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Abstract

The purpose of this paper is to recommend and implement the Multistep Modified Reduced Differential Transform Method (MMRDTM) for solving Nonlinear Schrodinger Equations (NLSEs) with power-law nonlinearity. Prior to applying the multistep approach, we replaced the nonlinear term in the NLSEs with the corresponding Adomian polynomials using the proposed technique. As a result, we can obtain solutions for NLSEs with power-law nonlinearity in a simpler and less complex manner. Furthermore, the solutions can be approximated more precisely over a longer period. We considered several NLSEs with power-law nonlinearity and graphed the features of these solutions to demonstrate the power and accuracy of the MMRDTM.

Item Type:	Proceedings
Keyword:	Adomian polynomials, Multistep approach, Modified Reduced Differential Transform Method, Nonlinear Schrodinger equations, Power-law nonlinearity
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA1-43 General Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Department:	CENTRE > Preparation Centre for Science and Technology
Depositing User:	SITI AZIZAH BINTI IDRIS -
Date Deposited:	10 Oct 2024 16:00
Last Modified:	10 Oct 2024 16:00
URI:	https://eprints.ums.edu.my/id/eprint/41294

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